incomplete LU factorization

Iterative Methods

Published in Jeffery J. Leader, Numerical Analysis and Scientific Computation, 2022

One way to do this is to simply prohibit fill-in. We allow an entry of L˜ or U˜ to be nonzero only if the corresponding entry of A is nonzero. More generally, we might specify a range of entries of L˜ and U˜ that may be filled in, e.g., up to the first three subdiagonals and up to the first three superdiagonals. Any such factorization is known as incomplete LU factorization, leading to an incomplete LU preconditionerP=L˜U˜ (often referred to simply as an ILU method). The corresponding technique for positive definite matrices is incomplete Cholesky factorization and hence an incomplete Cholesky preconditioner.

Point Thermal Transmittance of Rib Intersections in Concrete Sandwich Wall Panels

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Journal Information

Published in Heat Transfer Engineering, 2019

Marta Benedetti, Paola Gervasio, Davide Luscietti, Mariagrazia Pilotelli, Adriano Maria Lezzi

The linear system arising from the SEM discretization of Eq. (5) has dimension close to p3N and the matrix is very sparse, therefore it is mandatory to solve it by an iterative method, like, e.g., the Bi-CGStab method [10], preconditioned by an incomplete LU factorization.

incomplete LU factorization

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Iterative Methods

Point Thermal Transmittance of Rib Intersections in Concrete Sandwich Wall Panels